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Finding the Third Proportional to 103,528 and 141,440

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Solution

The third proportional to 103,528 and 141,440 is: 193,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,528 : 141,440 = 141,440 : x
  2. Step 2: Convert to fraction form
    103,528/141,440 = 141,440/x
  3. Step 3: Cross multiply
    103,528x = 141,440 × 141,440
  4. Step 4: Simplify right side
    103,528x = 20,005,273,600
  5. Step 5: Solve for x
    x = 20,005,273,600/103,528
  6. Step 6: Final answer
    x = 193,235.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.